MATH SOLVE

4 months ago

Q:
# 50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT

Accepted Solution

A:

Answer:○ 3○ y + ½ = 3(x - 2)○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.○ 5x - 3y = 15○ y = ½x + 5⁄2Step-by-step explanation:Find the rate of change [slope]:-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)[tex] \frac{2 + 1}{2 - 1} = 3[/tex]__________________________________________________________According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:(2, -½) → y + ½ = 3(x - 2)__________________________________________________________We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:-3[4x - ⅔y = 8] → -12x + 2y = -24** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.__________________________________________________________If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in zero for y: 5x = 15, and you will know right away that x is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in zero for x: -3y = 15, and you will know right away that y is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.__________________________________________________________y - 3 = ½(x - 1)y - 3 = ½x - ½ + 3 + 3_____________y = ½x + 2½* 2½ = 5⁄2I am joyous to assist you anytime.